| 利用Eckart势求玻尔哈密顿量的解析解(英文) |
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| 引用本文： | 汪菁,郭建友.利用Eckart势求玻尔哈密顿量的解析解(英文)[J].原子与分子物理学报,2010,27(3):397-402. |
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| 作者姓名： | 汪菁 郭建友 |
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| 作者单位： | 安徽大学物理与材料学院,合肥,230039 |
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| 摘 要： | 本文中讨论了用Eckart势求解玻尔哈密顿量的新方法.在γ不稳定和γ≈0的两种情况下,对于离心项l/β~2用近似表达的条件下,分别求解了玻尔哈密顿量的解析解,且通过N-U方法,利用Eckart势成功的获得了玻尔哈密顿量解析解的表达式.
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| 关 键 词： | 玻尔哈密顿量 N-U方法 Eckart势 |
| 收稿时间： | 5/19/2009 9:43:58 PM |
| 修稿时间： | 6/25/2009 5:05:27 PM |
Analytical solutions of the Bohr Hamiltonian with the Eckart potential |
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| WANG Jing,GUO Jian-You.Analytical solutions of the Bohr Hamiltonian with the Eckart potential[J].Journal of Atomic and Molecular Physics,2010,27(3):397-402. |
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| Authors: | WANG Jing GUO Jian-You |
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| Abstract: | In this paper, we have discussed a new solution of the Bohr Hamiltonian with Eckart potential. Under the condition of an effective approximation as , analytical solutions of the Bohr Hamiltonian are obtained in the unstable case, as well as in an exactly separable rotational case with , called the exactly separable Eckart (ES-E) solution. Closed expressions for the energy eigenvalues are presented through the Nikiforov-Uvarov Method (N-U) method. |
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| Keywords: | Bohr Hamiltonian Nikiforov-Uvarov method Eckart potential |
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